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Finding the Fourth Proportional to 23,853.79, 35,786.51 and 16,847.49

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Solution

The fourth proportional to 23,853.79, 35,786.51 and 16,847.49 is: 25,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.79 : 35,786.51 = 16,847.49 : x
  2. Step 2: Convert to fraction form
    23,853.79/35,786.51 = 16,847.49/x
  3. Step 3: Cross multiply
    23,853.79x = 35,786.51 × 16,847.49
  4. Step 4: Simplify right side
    23,853.79x = 602,912,982.50
  5. Step 5: Solve for x
    x = 602,912,982.50/23,853.79
  6. Step 6: Final answer
    x = 25,275.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.